Remove selected feature Openlayers 3

Yes, you can remove selected feature.

var draw;
var featureID = 0;
var singleClick;
var selectedFeatureID;

// First some change in this function.

function addInteraction() {
   map.removeInteraction(singleClick);

      draw = new ol.interaction.Draw({
      source: source,
      type: ("LineString")
  });

 // Create drawend event of feature and set ID to feature

  draw.on('drawend', function (event) {
    featureID = featureID + 1;
    event.feature.setProperties({
        'id': featureID
    })
 })
   map.addInteraction(draw);
 }

Then Change in select Function as follow:

 function addSelect() {
    map.removeInteraction(draw);
    singleClick = new ol.interaction.Select();
    map.addInteraction(singleClick);

     singleClick .getFeatures().on('add', function (event) {
     var properties = event.element.getProperties();
     selectedFeatureID = properties.id;       
    });
 }

Then call this function on REMOVE button click

 function removeSelectedFeature() {
   var features = source.getFeatures();
     if (features != null && features.length > 0) {
         for (x in features) {
            var properties = features[x].getProperties();
            console.log(properties);
            var id = properties.id;
            if (id == selectedFeatureID) {
              source.removeFeature(features[x]);
               break;
            }
          }
        }
      }

With this code you can remove any selected feature. If it is Line,Point, Polygon etc.